19 citations · 95 across the 17 of their papers we have counts for
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math.PR2006★ 3 cited
Dualities for Multi-State Probabilistic Cellular Automata
F. J. Lopez, G. Sanz, M. Sobottka
In this paper a new form of duality for probabilistic cellular automata (PCA) is introduced. Using this duality, an ergodicity result for processes having a dual is proved. Also, c…
math.DS2006★ 6 cited
Right-Permutative Cellular Automata on Topological Markov Chains
Marcelo Sobottka
In this paper we consider cellular automata with algebraic local rules and such that is a topological Markov chain which has a structure compatibl…